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Omnitetrachordal MOS scale
2L+3s
5 tones (2+1+2)

The classic pentatonic scale. Can include superpyth, Pythagorean, meantone, and mavila tunings. (1)

P = 1.4424745962 (L=32/27, s=9/8)
Q = 4.3849491924 (4/3 = L+0.5s)

L = 240.00 to 600.00 cents (294.13 cents @ P, 447.07 cents @ Q)
s = 0.00 to 240.00 cents (203.91 cents @ P, 101.96 cents @ Q)

9/8 = s (0.00 to 240.00 cents)
4/3 = L+s (480.00 to 600.00 cents)
generator = 4/3

notable EDOs: 7, 9, 12, 16, 17, 19, 22, 26, 29, 31

symmetric mode: sLsLs

all modes:

sL s sL

 1|3 

Ls s Ls

3|1
s sL sL


0|4
s Ls Ls

sL sL s
2|2


Ls Ls s
4|0

05_02_03_sL_s_sL.png

See also


References

  • (1) Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.